Chronobiology — the circadian oscillator network

The ~24 hour circadian clock is a self-sustained coupled limit-cycle oscillator network (SCN master + peripheral clocks) on the shared R19 substrate — it free-runs, is entrained by light, and gates nearly every defended setpoint. Disease is clock–environment misalignment. This is a deterministic derivation seeded by a measured clock-gene γ, not a toy simulation: the molecular loop carries a measured BMAL1/ARNTL well (γ = 1.33348, never fitted), every number is produced by one engine (seed = 19, result sha256 417823934d6e…, 2× identical) across 8 falsifiable discriminants, the absolute ~24 h period is the only cited anchor, and the felt quality of mood stays in the mind volume (efficacy = 0, not medical advice).

How this volume is grounded (not a toy model)

The molecular clock node is seeded by a measured property of the real human clock gene: the well depth γ = 1.33348 of ARNTL (alias BMAL1) (NCBI Gene ID 406, accession NC_000011.10), computed as −mean(NN stacking ΔG37, SantaLucia 1998) over the 2500 dinucleotides of the gene's proximal promoter (TSS-2000..+500) through the same nearest-neighbour DNA pipeline the whole framework uses — a measured input graded [V], never chosen to hit a target. The 2501-base promoter is cached (sha256 7293be92e4ad…) so the γ reproduces offline byte-for-byte. Every dynamical claim below is produced by one deterministic engine (seed = 19) whose aggregate result hashes identically twice (sha256 417823934d6e…), and the 8 discriminants (RC1–RC6 + TX1) are falsifiable — each could have failed on the substrate and did not. No new physical constant is introduced anywhere; the FitzHugh–Nagumo (R19) substrate is vendored byte-identical and merely run in its oscillatory window. The full evidence, with the discriminant table and grades, is the grounding chapter.

The thesis

A clock is not a stopwatch the sun winds. It is an oscillator — the BMAL1/CLOCK ↔ PER/CRY transcription–translation feedback loop — run in the oscillatory window of the same FitzHugh–Nagumo cell the rest of the framework uses. The one node with a named master gene carries a measured BMAL1 well (γ = 1.33348, gene 406, NC_000011.10), fetched through the framework's DNA pipeline and never fitted. On top of that vendored substrate the package adds exactly the dynamics a clock needs — coupling, entrainment, setpoint gating — and shows that each one is a property of the substrate, not an assumption: self-sustension inside a drive window, a biphasic light phase-response curve, an Arnold tongue, a synchronisation transition with a master-led hierarchy, and clock-imposed daily rhythm on the HPA axis.

The disease and treatment axis

Because the clock re-aligns only ~1 hour per day (a hard bound set by the PRC), a phase shift leaves the internal clock running at the wrong external time for days. The gated setpoints then keep a clean rhythm at the wrong phase — the disease state. This one mechanism covers circadian sleep-wake disorders, shift-work cardiometabolic disease, and (through the shared Kramers oncology kernel, as a rate multiplier) the IARC class 2A night-shift cancer association. Treatment is the same control law run forwards: a PRC-correct zeitgeber re-aligns the clock, and the wrong phase worsens it — chronotherapy is a timing discipline, efficacy = 0.

The seam into mind

The volume's sharpest result is a seam, not a standalone disease. The mind paper modelled depression on an HPA withdrawal handle and explicitly locked the circadian contributor; this volume supplies it. Circadian misalignment flattens the gated HPA cortisol rhythm, and that sustained, demand-misaligned signal is mind's withdrawal bias (b < 0). Only the sign crosses the seam — the magnitude is owned by mind, and the felt quality of low mood stays behind mind's Axis-A firewall (consciousness_claim = 0, the hard problem open). The same timing seam aggravates mind's coupling-organisation reading of autism, where circadian and sleep disruption is common.

The chapters

• Grounding: measured DNA emergence & determinism methods · start here
• Scope: the clock as an oscillator network scope
• Free-running: a rhythm with no input verified
• Entrainment: the PRC and the Arnold tongue verified
• Master vs network: coupled, master-led verified
• Setpoint gating: the clock gates the HPA axis verified
• Misalignment: shift work, jet lag, disease verified
• The circadian–mood seam (mind's locked contributor) model · seam
• Chronotherapy: re-aligning with the PRC model · efficacy=0

Grades (VP-SPEC C3): oscillator mechanism / PRC shape / synchronisation transition = [V]; the ~24 h period and cited clinical windows = [L]; absolute phase / inter-tissue lags / absolute incidence / the depression-handle magnitude = [O] (each with a stated obstacle in the irreproducibility ledger). DOI for this volume: 10.5281/zenodo.20755413 (concept; resolves to the latest version). The mind affect seam cites 10.5281/zenodo.20694404.